The equivalence of several set invariance conditions under saturation
The equivalence of several set invariance conditions under saturation
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饱和状态下几组不变性条件的等价
DOI：
10.1109/cdc.2002.1185018
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Zongli Lin
中科院分区：
文献类型：
--
作者：
T. Hu;Zongli Lin
在最近的一篇论文中，针对具有一个饱和执行器的系统获得了集合不变性的几个等效条件或陈述。特别是，表明饱和线性反馈下椭球的不变性相当于其受控不变性，也相当于椭球内部存在使其不变的反馈线性。在本文中，我们尝试将结果扩展到具有多个饱和执行器的系统。我们的分析表明，等价性对于某些语句对有条件地成立，而对于其他一些语句对则不成立。
Several equivalent conditions or statements for set invariance were obtained for systems with one saturating actuator in a recent paper. In particular, it was shown that the invariance of an ellipsoid under a saturated linear feedback is equivalent to its controlled invariance and also to the existence of a feedback linear inside the ellipsoid that makes it invariant. In this paper, we attempt to extend the results to systems with multiple saturating actuators. Our analysis reveals that the equivalence holds conditionally for some pairs of the statements and does not hold for some other pairs.